How to fill the space between two surfaces？

If f1(x,y)≤z≤f2(x,y), how to draw the range of z? If the upper and lower limits of z are described by separate functions, how to plot the range of the z function in the direction of the z-axis instead of two surfaces?

x=-5:0.1:5;

y=-5:0.1:5;

[XX,YY]=meshgrid(x,y);

for m=1:101

for n=1:101

z1(m,n)=x(m)^2+y(n)^2;

z2(m,n)=3*x(m)^3+y(n)^2+1;

plot3([XX(m,n) XX(m,n)],[YY(m,n) YY(m,n)],[z1(m,n) z2(m,n)])

hold on

end

end

hold on

The code to draw only 2 surfaces is given here.

x=-5:0.1:5;

y=-5:0.1:5;

for m=1:101

for n=1:101

z1(m,n)=x(m)^2+y(n)^2;

z2(m,n)=3*x(m)^3+y(n)^2+1;

end

end

surf(x,y,z1,"EdgeColor","none")

hold on

surf(x,y,z2,"EdgeColor","none")

[Torsten]

But you will see nothing "behind" the planes x = -5 and y = -5. So does it really make sense what you want to do ?

Answer 1

[Taylor]

If you are looking to plot the volume of filled space between the two surfaces, I believe this post has the answer you're looking for.

[xin]

Thanks.